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Finding the Fourth Proportional to 301,154.13, 415,593.26 and 165,189.17

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Solution

The fourth proportional to 301,154.13, 415,593.26 and 165,189.17 is: 227,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,154.13 : 415,593.26 = 165,189.17 : x
  2. Step 2: Convert to fraction form
    301,154.13/415,593.26 = 165,189.17/x
  3. Step 3: Cross multiply
    301,154.13x = 415,593.26 × 165,189.17
  4. Step 4: Simplify right side
    301,154.13x = 68,651,506,044.90
  5. Step 5: Solve for x
    x = 68,651,506,044.90/301,154.13
  6. Step 6: Final answer
    x = 227,961.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.